That 60 degree arc is based upon the accepted idea that contact at a quarter cue ball will be used for maximum spin. However, theoretically the limit is .6 radius offset from center. Then the range becomes not 60 degree range for the tip but near 78 degree range. Spin is not even what I was going to attempt to confirm.
The actual contact point on the cue ball when aiming is different from the aim point intended.
C=(RA)/(R+r). C=contact point, R=radius of cueball, A=aim point distance from center of cue ball, r=radius of tip curbature.
The smaller r is, the closer the contact point will be to the aim point. However r can never be less than the radius of the shaft.
Either way, it is all just for fun. I probably will have to stack tips just to experiment.